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Title: Uncertainty quantification and propagation in nuclear density functional theory

Abstract

Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While on-going eff orts seek to better root nuclear DFT in the theory of nuclear forces, energy functionals remain semi-phenomenological constructions that depend on a set of parameters adjusted to experimental data in fi nite nuclei. In this study, we review recent eff orts to quantify the related uncertainties, and propagate them to model predictions. In particular, we cover the topics of parameter estimation for inverse problems, statistical analysis of model uncertainties and Bayesian inference methods. Illustrative examples are taken from the literature.

Authors:
 [1];  [2];  [3];  [4];  [4]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Francis Marion Univ., Florence, SC (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1184172
Report Number(s):
LLNL-PROC-668703
Journal ID: ISSN 1434-6001
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
European Physical Journal. A
Additional Journal Information:
Journal Volume: 51; Journal Issue: 12; Conference: Presented at: Perspectives on Nuclear Data for the Next Decade, Bruyeres-le-Chatel (France), 14-17 Oct 2014; Journal ID: ISSN 1434-6001
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE

Citation Formats

Schunck, N., McDonnell, J. D., Higdon, D., Sarich, J., and Wild, S. M. Uncertainty quantification and propagation in nuclear density functional theory. United States: N. p., 2015. Web. doi:10.1140/epja/i2015-15169-9.
Schunck, N., McDonnell, J. D., Higdon, D., Sarich, J., & Wild, S. M. Uncertainty quantification and propagation in nuclear density functional theory. United States. doi:10.1140/epja/i2015-15169-9.
Schunck, N., McDonnell, J. D., Higdon, D., Sarich, J., and Wild, S. M. Wed . "Uncertainty quantification and propagation in nuclear density functional theory". United States. doi:10.1140/epja/i2015-15169-9. https://www.osti.gov/servlets/purl/1184172.
@article{osti_1184172,
title = {Uncertainty quantification and propagation in nuclear density functional theory},
author = {Schunck, N. and McDonnell, J. D. and Higdon, D. and Sarich, J. and Wild, S. M.},
abstractNote = {Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While on-going eff orts seek to better root nuclear DFT in the theory of nuclear forces, energy functionals remain semi-phenomenological constructions that depend on a set of parameters adjusted to experimental data in fi nite nuclei. In this study, we review recent eff orts to quantify the related uncertainties, and propagate them to model predictions. In particular, we cover the topics of parameter estimation for inverse problems, statistical analysis of model uncertainties and Bayesian inference methods. Illustrative examples are taken from the literature.},
doi = {10.1140/epja/i2015-15169-9},
journal = {European Physical Journal. A},
issn = {1434-6001},
number = 12,
volume = 51,
place = {United States},
year = {2015},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 8 works
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